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53090304 = 21138641
BaseRepresentation
bin1100101010000…
…1100000000000
310200220021012120
43022201200000
5102042342204
65133524240
71213155141
oct312414000
9120807176
1053090304
1127a71593
1215943680
13accaba7
14709dac8
1549da6d9
hex32a1800

53090304 has 48 divisors (see below), whose sum is σ = 141555960. Its totient is φ = 17694720.

The previous prime is 53090299. The next prime is 53090309. The reversal of 53090304 is 40309035.

It is an interprime number because it is at equal distance from previous prime (53090299) and next prime (53090309).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53090309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1824 + ... + 10464.

Almost surely, 253090304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53090304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70777980).

53090304 is an abundant number, since it is smaller than the sum of its proper divisors (88465656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53090304 is an equidigital number, since it uses as much as digits as its factorization.

53090304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8666 (or 8646 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 53090304 is about 7286.3093538499. The cubic root of 53090304 is about 375.8417925026.

Adding to 53090304 its reverse (40309035), we get a palindrome (93399339).

The spelling of 53090304 in words is "fifty-three million, ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 8641 17282 25923 34564 51846 69128 103692 138256 207384 276512 414768 553024 829536 1106048 1659072 2212096 3318144 4424192 6636288 8848384 13272576 17696768 26545152 53090304